Considering the structural analysis problem of systems properties with Bouc-Wen
hysteresis (BWH), various approaches are proposed for the identification of BWH
parameters. The applied methods and algorithms are based on the design of
parametric models and consider a priori information and the results of data
analysis. Structural changes in the BWH form a priori. Methods for the Bouc-Wen
model (BWM) identification and its structure estimation are not considered under uncertainty. The study’s purpose is the analysis the structural problems of the Bouc-Wen hysteresis
identification. The analysis base is the application of geometric frameworks
(GF) under uncertainty. Methods for adaptive estimation parameters and
structural of BWM were proposed. The adaptive system stability is proved based
on vector Lyapunov functions. An approach is proposed to estimate the
identifiability and structure of the system with BWH. The method for estimating
the identifiability degree based on the analysis of GF is considered. BWM modifications
are proposed to guarantee the system’s stability and simplify its description.
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